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Finding the Fourth Proportional to 314,168.31, 433,539.41 and 170,928.50

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Solution

The fourth proportional to 314,168.31, 433,539.41 and 170,928.50 is: 235,874.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,168.31 : 433,539.41 = 170,928.50 : x
  2. Step 2: Convert to fraction form
    314,168.31/433,539.41 = 170,928.50/x
  3. Step 3: Cross multiply
    314,168.31x = 433,539.41 × 170,928.50
  4. Step 4: Simplify right side
    314,168.31x = 74,104,238,019.85
  5. Step 5: Solve for x
    x = 74,104,238,019.85/314,168.31
  6. Step 6: Final answer
    x = 235,874.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.